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Finding the Fourth Proportional to 9,471.11, 13,069.29 and 5,222.16

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Solution

The fourth proportional to 9,471.11, 13,069.29 and 5,222.16 is: 7,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.11 : 13,069.29 = 5,222.16 : x
  2. Step 2: Convert to fraction form
    9,471.11/13,069.29 = 5,222.16/x
  3. Step 3: Cross multiply
    9,471.11x = 13,069.29 × 5,222.16
  4. Step 4: Simplify right side
    9,471.11x = 68,249,923.47
  5. Step 5: Solve for x
    x = 68,249,923.47/9,471.11
  6. Step 6: Final answer
    x = 7,206.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.